Geodesic
Index filtrations and Morse decompositions for discrete dynamical systems
Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 51-70.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

On a Morse decomposition of an isolated invariant set of a homeomorphism (discrete dynamical system) there are partial orderings defined by the homeomorphism. These are called admissible orderings of the Morse decomposition. We prove the existence of index filtrations for admissible total orderings of a Morse decomposition and introduce the connection matrix in this case.
DOI : 10.4064/ap-72-1-51-70
Keywords: Conley index, index filtration, Morse decomposition, connection matrix

P. Bartłomiejczyk 1 ; Z. Dzedzej 1

1 
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P. Bartłomiejczyk; Z. Dzedzej. Index filtrations and Morse decompositions for discrete dynamical systems. Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 51-70. doi : 10.4064/ap-72-1-51-70. http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-51-70/

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